All Prime Numbers Have Primitive Roots
Logic in Computer Science
2022-05-25 v1 Discrete Mathematics
Abstract
If p is a prime, then the numbers 1, 2, ..., p-1 form a group under multiplication modulo p. A number g that generates this group is called a primitive root of p; i.e., g is such that every number between 1 and p-1 can be written as a power of g modulo p. Building on prior work in the ACL2 community, this paper describes a constructive proof that every prime number has a primitive root.
Cite
@article{arxiv.2205.11694,
title = {All Prime Numbers Have Primitive Roots},
author = {Ruben Gamboa and Woodrow Gamboa},
journal= {arXiv preprint arXiv:2205.11694},
year = {2022}
}
Comments
In Proceedings ACL2 2022, arXiv:2205.11103